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+/*!
+An implementation of the [Two-Way substring search algorithm][two-way].
+
+[`Finder`] can be built for forward searches, while [`FinderRev`] can be built
+for reverse searches.
+
+Two-Way makes for a nice general purpose substring search algorithm because of
+its time and space complexity properties. It also performs well in practice.
+Namely, with `m = len(needle)` and `n = len(haystack)`, Two-Way takes `O(m)`
+time to create a finder, `O(1)` space and `O(n)` search time. In other words,
+the preprocessing step is quick, doesn't require any heap memory and the worst
+case search time is guaranteed to be linear in the haystack regardless of the
+size of the needle.
+
+While vector algorithms will usually beat Two-Way handedly, vector algorithms
+also usually have pathological or edge cases that are better handled by Two-Way.
+Moreover, not all targets support vector algorithms or implementations for them
+simply may not exist yet.
+
+Two-Way can be found in the `memmem` implementations in at least [GNU libc] and
+[musl].
+
+[two-way]: https://en.wikipedia.org/wiki/Two-way_string-matching_algorithm
+[GNU libc]: https://www.gnu.org/software/libc/
+[musl]: https://www.musl-libc.org/
+*/
+
+use core::cmp;
+
+use crate::{
+ arch::all::{is_prefix, is_suffix},
+ memmem::Pre,
+};
+
+/// A forward substring searcher that uses the Two-Way algorithm.
+#[derive(Clone, Copy, Debug)]
+pub struct Finder(TwoWay);
+
+/// A reverse substring searcher that uses the Two-Way algorithm.
+#[derive(Clone, Copy, Debug)]
+pub struct FinderRev(TwoWay);
+
+/// An implementation of the TwoWay substring search algorithm.
+///
+/// This searcher supports forward and reverse search, although not
+/// simultaneously. It runs in `O(n + m)` time and `O(1)` space, where
+/// `n ~ len(needle)` and `m ~ len(haystack)`.
+///
+/// The implementation here roughly matches that which was developed by
+/// Crochemore and Perrin in their 1991 paper "Two-way string-matching." The
+/// changes in this implementation are 1) the use of zero-based indices, 2) a
+/// heuristic skip table based on the last byte (borrowed from Rust's standard
+/// library) and 3) the addition of heuristics for a fast skip loop. For (3),
+/// callers can pass any kind of prefilter they want, but usually it's one
+/// based on a heuristic that uses an approximate background frequency of bytes
+/// to choose rare bytes to quickly look for candidate match positions. Note
+/// though that currently, this prefilter functionality is not exposed directly
+/// in the public API. (File an issue if you want it and provide a use case
+/// please.)
+///
+/// The heuristic for fast skipping is automatically shut off if it's
+/// detected to be ineffective at search time. Generally, this only occurs in
+/// pathological cases. But this is generally necessary in order to preserve
+/// a `O(n + m)` time bound.
+///
+/// The code below is fairly complex and not obviously correct at all. It's
+/// likely necessary to read the Two-Way paper cited above in order to fully
+/// grok this code. The essence of it is:
+///
+/// 1. Do something to detect a "critical" position in the needle.
+/// 2. For the current position in the haystack, look if `needle[critical..]`
+/// matches at that position.
+/// 3. If so, look if `needle[..critical]` matches.
+/// 4. If a mismatch occurs, shift the search by some amount based on the
+/// critical position and a pre-computed shift.
+///
+/// This type is wrapped in the forward and reverse finders that expose
+/// consistent forward or reverse APIs.
+#[derive(Clone, Copy, Debug)]
+struct TwoWay {
+ /// A small bitset used as a quick prefilter (in addition to any prefilter
+ /// given by the caller). Namely, a bit `i` is set if and only if `b%64==i`
+ /// for any `b == needle[i]`.
+ ///
+ /// When used as a prefilter, if the last byte at the current candidate
+ /// position is NOT in this set, then we can skip that entire candidate
+ /// position (the length of the needle). This is essentially the shift
+ /// trick found in Boyer-Moore, but only applied to bytes that don't appear
+ /// in the needle.
+ ///
+ /// N.B. This trick was inspired by something similar in std's
+ /// implementation of Two-Way.
+ byteset: ApproximateByteSet,
+ /// A critical position in needle. Specifically, this position corresponds
+ /// to beginning of either the minimal or maximal suffix in needle. (N.B.
+ /// See SuffixType below for why "minimal" isn't quite the correct word
+ /// here.)
+ ///
+ /// This is the position at which every search begins. Namely, search
+ /// starts by scanning text to the right of this position, and only if
+ /// there's a match does the text to the left of this position get scanned.
+ critical_pos: usize,
+ /// The amount we shift by in the Two-Way search algorithm. This
+ /// corresponds to the "small period" and "large period" cases.
+ shift: Shift,
+}
+
+impl Finder {
+ /// Create a searcher that finds occurrences of the given `needle`.
+ ///
+ /// An empty `needle` results in a match at every position in a haystack,
+ /// including at `haystack.len()`.
+ #[inline]
+ pub fn new(needle: &[u8]) -> Finder {
+ let byteset = ApproximateByteSet::new(needle);
+ let min_suffix = Suffix::forward(needle, SuffixKind::Minimal);
+ let max_suffix = Suffix::forward(needle, SuffixKind::Maximal);
+ let (period_lower_bound, critical_pos) =
+ if min_suffix.pos > max_suffix.pos {
+ (min_suffix.period, min_suffix.pos)
+ } else {
+ (max_suffix.period, max_suffix.pos)
+ };
+ let shift = Shift::forward(needle, period_lower_bound, critical_pos);
+ Finder(TwoWay { byteset, critical_pos, shift })
+ }
+
+ /// Returns the first occurrence of `needle` in the given `haystack`, or
+ /// `None` if no such occurrence could be found.
+ ///
+ /// The `needle` given must be the same as the `needle` provided to
+ /// [`Finder::new`].
+ ///
+ /// An empty `needle` results in a match at every position in a haystack,
+ /// including at `haystack.len()`.
+ #[inline]
+ pub fn find(&self, haystack: &[u8], needle: &[u8]) -> Option<usize> {
+ self.find_with_prefilter(None, haystack, needle)
+ }
+
+ /// This is like [`Finder::find`], but it accepts a prefilter for
+ /// accelerating searches.
+ ///
+ /// Currently this is not exposed in the public API because, at the time
+ /// of writing, I didn't want to spend time thinking about how to expose
+ /// the prefilter infrastructure (if at all). If you have a compelling use
+ /// case for exposing this routine, please create an issue. Do *not* open
+ /// a PR that just exposes `Pre` and friends. Exporting this routine will
+ /// require API design.
+ #[inline(always)]
+ pub(crate) fn find_with_prefilter(
+ &self,
+ pre: Option<Pre<'_>>,
+ haystack: &[u8],
+ needle: &[u8],
+ ) -> Option<usize> {
+ match self.0.shift {
+ Shift::Small { period } => {
+ self.find_small_imp(pre, haystack, needle, period)
+ }
+ Shift::Large { shift } => {
+ self.find_large_imp(pre, haystack, needle, shift)
+ }
+ }
+ }
+
+ // Each of the two search implementations below can be accelerated by a
+ // prefilter, but it is not always enabled. To avoid its overhead when
+ // its disabled, we explicitly inline each search implementation based on
+ // whether a prefilter will be used or not. The decision on which to use
+ // is made in the parent meta searcher.
+
+ #[inline(always)]
+ fn find_small_imp(
+ &self,
+ mut pre: Option<Pre<'_>>,
+ haystack: &[u8],
+ needle: &[u8],
+ period: usize,
+ ) -> Option<usize> {
+ let mut pos = 0;
+ let mut shift = 0;
+ let last_byte_pos = match needle.len().checked_sub(1) {
+ None => return Some(pos),
+ Some(last_byte) => last_byte,
+ };
+ while pos + needle.len() <= haystack.len() {
+ let mut i = cmp::max(self.0.critical_pos, shift);
+ if let Some(pre) = pre.as_mut() {
+ if pre.is_effective() {
+ pos += pre.find(&haystack[pos..])?;
+ shift = 0;
+ i = self.0.critical_pos;
+ if pos + needle.len() > haystack.len() {
+ return None;
+ }
+ }
+ }
+ if !self.0.byteset.contains(haystack[pos + last_byte_pos]) {
+ pos += needle.len();
+ shift = 0;
+ continue;
+ }
+ while i < needle.len() && needle[i] == haystack[pos + i] {
+ i += 1;
+ }
+ if i < needle.len() {
+ pos += i - self.0.critical_pos + 1;
+ shift = 0;
+ } else {
+ let mut j = self.0.critical_pos;
+ while j > shift && needle[j] == haystack[pos + j] {
+ j -= 1;
+ }
+ if j <= shift && needle[shift] == haystack[pos + shift] {
+ return Some(pos);
+ }
+ pos += period;
+ shift = needle.len() - period;
+ }
+ }
+ None
+ }
+
+ #[inline(always)]
+ fn find_large_imp(
+ &self,
+ mut pre: Option<Pre<'_>>,
+ haystack: &[u8],
+ needle: &[u8],
+ shift: usize,
+ ) -> Option<usize> {
+ let mut pos = 0;
+ let last_byte_pos = match needle.len().checked_sub(1) {
+ None => return Some(pos),
+ Some(last_byte) => last_byte,
+ };
+ 'outer: while pos + needle.len() <= haystack.len() {
+ if let Some(pre) = pre.as_mut() {
+ if pre.is_effective() {
+ pos += pre.find(&haystack[pos..])?;
+ if pos + needle.len() > haystack.len() {
+ return None;
+ }
+ }
+ }
+
+ if !self.0.byteset.contains(haystack[pos + last_byte_pos]) {
+ pos += needle.len();
+ continue;
+ }
+ let mut i = self.0.critical_pos;
+ while i < needle.len() && needle[i] == haystack[pos + i] {
+ i += 1;
+ }
+ if i < needle.len() {
+ pos += i - self.0.critical_pos + 1;
+ } else {
+ for j in (0..self.0.critical_pos).rev() {
+ if needle[j] != haystack[pos + j] {
+ pos += shift;
+ continue 'outer;
+ }
+ }
+ return Some(pos);
+ }
+ }
+ None
+ }
+}
+
+impl FinderRev {
+ /// Create a searcher that finds occurrences of the given `needle`.
+ ///
+ /// An empty `needle` results in a match at every position in a haystack,
+ /// including at `haystack.len()`.
+ #[inline]
+ pub fn new(needle: &[u8]) -> FinderRev {
+ let byteset = ApproximateByteSet::new(needle);
+ let min_suffix = Suffix::reverse(needle, SuffixKind::Minimal);
+ let max_suffix = Suffix::reverse(needle, SuffixKind::Maximal);
+ let (period_lower_bound, critical_pos) =
+ if min_suffix.pos < max_suffix.pos {
+ (min_suffix.period, min_suffix.pos)
+ } else {
+ (max_suffix.period, max_suffix.pos)
+ };
+ let shift = Shift::reverse(needle, period_lower_bound, critical_pos);
+ FinderRev(TwoWay { byteset, critical_pos, shift })
+ }
+
+ /// Returns the last occurrence of `needle` in the given `haystack`, or
+ /// `None` if no such occurrence could be found.
+ ///
+ /// The `needle` given must be the same as the `needle` provided to
+ /// [`FinderRev::new`].
+ ///
+ /// An empty `needle` results in a match at every position in a haystack,
+ /// including at `haystack.len()`.
+ #[inline]
+ pub fn rfind(&self, haystack: &[u8], needle: &[u8]) -> Option<usize> {
+ // For the reverse case, we don't use a prefilter. It's plausible that
+ // perhaps we should, but it's a lot of additional code to do it, and
+ // it's not clear that it's actually worth it. If you have a really
+ // compelling use case for this, please file an issue.
+ match self.0.shift {
+ Shift::Small { period } => {
+ self.rfind_small_imp(haystack, needle, period)
+ }
+ Shift::Large { shift } => {
+ self.rfind_large_imp(haystack, needle, shift)
+ }
+ }
+ }
+
+ #[inline(always)]
+ fn rfind_small_imp(
+ &self,
+ haystack: &[u8],
+ needle: &[u8],
+ period: usize,
+ ) -> Option<usize> {
+ let nlen = needle.len();
+ let mut pos = haystack.len();
+ let mut shift = nlen;
+ let first_byte = match needle.get(0) {
+ None => return Some(pos),
+ Some(&first_byte) => first_byte,
+ };
+ while pos >= nlen {
+ if !self.0.byteset.contains(haystack[pos - nlen]) {
+ pos -= nlen;
+ shift = nlen;
+ continue;
+ }
+ let mut i = cmp::min(self.0.critical_pos, shift);
+ while i > 0 && needle[i - 1] == haystack[pos - nlen + i - 1] {
+ i -= 1;
+ }
+ if i > 0 || first_byte != haystack[pos - nlen] {
+ pos -= self.0.critical_pos - i + 1;
+ shift = nlen;
+ } else {
+ let mut j = self.0.critical_pos;
+ while j < shift && needle[j] == haystack[pos - nlen + j] {
+ j += 1;
+ }
+ if j >= shift {
+ return Some(pos - nlen);
+ }
+ pos -= period;
+ shift = period;
+ }
+ }
+ None
+ }
+
+ #[inline(always)]
+ fn rfind_large_imp(
+ &self,
+ haystack: &[u8],
+ needle: &[u8],
+ shift: usize,
+ ) -> Option<usize> {
+ let nlen = needle.len();
+ let mut pos = haystack.len();
+ let first_byte = match needle.get(0) {
+ None => return Some(pos),
+ Some(&first_byte) => first_byte,
+ };
+ while pos >= nlen {
+ if !self.0.byteset.contains(haystack[pos - nlen]) {
+ pos -= nlen;
+ continue;
+ }
+ let mut i = self.0.critical_pos;
+ while i > 0 && needle[i - 1] == haystack[pos - nlen + i - 1] {
+ i -= 1;
+ }
+ if i > 0 || first_byte != haystack[pos - nlen] {
+ pos -= self.0.critical_pos - i + 1;
+ } else {
+ let mut j = self.0.critical_pos;
+ while j < nlen && needle[j] == haystack[pos - nlen + j] {
+ j += 1;
+ }
+ if j == nlen {
+ return Some(pos - nlen);
+ }
+ pos -= shift;
+ }
+ }
+ None
+ }
+}
+
+/// A representation of the amount we're allowed to shift by during Two-Way
+/// search.
+///
+/// When computing a critical factorization of the needle, we find the position
+/// of the critical factorization by finding the needle's maximal (or minimal)
+/// suffix, along with the period of that suffix. It turns out that the period
+/// of that suffix is a lower bound on the period of the needle itself.
+///
+/// This lower bound is equivalent to the actual period of the needle in
+/// some cases. To describe that case, we denote the needle as `x` where
+/// `x = uv` and `v` is the lexicographic maximal suffix of `v`. The lower
+/// bound given here is always the period of `v`, which is `<= period(x)`. The
+/// case where `period(v) == period(x)` occurs when `len(u) < (len(x) / 2)` and
+/// where `u` is a suffix of `v[0..period(v)]`.
+///
+/// This case is important because the search algorithm for when the
+/// periods are equivalent is slightly different than the search algorithm
+/// for when the periods are not equivalent. In particular, when they aren't
+/// equivalent, we know that the period of the needle is no less than half its
+/// length. In this case, we shift by an amount less than or equal to the
+/// period of the needle (determined by the maximum length of the components
+/// of the critical factorization of `x`, i.e., `max(len(u), len(v))`)..
+///
+/// The above two cases are represented by the variants below. Each entails
+/// a different instantiation of the Two-Way search algorithm.
+///
+/// N.B. If we could find a way to compute the exact period in all cases,
+/// then we could collapse this case analysis and simplify the algorithm. The
+/// Two-Way paper suggests this is possible, but more reading is required to
+/// grok why the authors didn't pursue that path.
+#[derive(Clone, Copy, Debug)]
+enum Shift {
+ Small { period: usize },
+ Large { shift: usize },
+}
+
+impl Shift {
+ /// Compute the shift for a given needle in the forward direction.
+ ///
+ /// This requires a lower bound on the period and a critical position.
+ /// These can be computed by extracting both the minimal and maximal
+ /// lexicographic suffixes, and choosing the right-most starting position.
+ /// The lower bound on the period is then the period of the chosen suffix.
+ fn forward(
+ needle: &[u8],
+ period_lower_bound: usize,
+ critical_pos: usize,
+ ) -> Shift {
+ let large = cmp::max(critical_pos, needle.len() - critical_pos);
+ if critical_pos * 2 >= needle.len() {
+ return Shift::Large { shift: large };
+ }
+
+ let (u, v) = needle.split_at(critical_pos);
+ if !is_suffix(&v[..period_lower_bound], u) {
+ return Shift::Large { shift: large };
+ }
+ Shift::Small { period: period_lower_bound }
+ }
+
+ /// Compute the shift for a given needle in the reverse direction.
+ ///
+ /// This requires a lower bound on the period and a critical position.
+ /// These can be computed by extracting both the minimal and maximal
+ /// lexicographic suffixes, and choosing the left-most starting position.
+ /// The lower bound on the period is then the period of the chosen suffix.
+ fn reverse(
+ needle: &[u8],
+ period_lower_bound: usize,
+ critical_pos: usize,
+ ) -> Shift {
+ let large = cmp::max(critical_pos, needle.len() - critical_pos);
+ if (needle.len() - critical_pos) * 2 >= needle.len() {
+ return Shift::Large { shift: large };
+ }
+
+ let (v, u) = needle.split_at(critical_pos);
+ if !is_prefix(&v[v.len() - period_lower_bound..], u) {
+ return Shift::Large { shift: large };
+ }
+ Shift::Small { period: period_lower_bound }
+ }
+}
+
+/// A suffix extracted from a needle along with its period.
+#[derive(Debug)]
+struct Suffix {
+ /// The starting position of this suffix.
+ ///
+ /// If this is a forward suffix, then `&bytes[pos..]` can be used. If this
+ /// is a reverse suffix, then `&bytes[..pos]` can be used. That is, for
+ /// forward suffixes, this is an inclusive starting position, where as for
+ /// reverse suffixes, this is an exclusive ending position.
+ pos: usize,
+ /// The period of this suffix.
+ ///
+ /// Note that this is NOT necessarily the period of the string from which
+ /// this suffix comes from. (It is always less than or equal to the period
+ /// of the original string.)
+ period: usize,
+}
+
+impl Suffix {
+ fn forward(needle: &[u8], kind: SuffixKind) -> Suffix {
+ // suffix represents our maximal (or minimal) suffix, along with
+ // its period.
+ let mut suffix = Suffix { pos: 0, period: 1 };
+ // The start of a suffix in `needle` that we are considering as a
+ // more maximal (or minimal) suffix than what's in `suffix`.
+ let mut candidate_start = 1;
+ // The current offset of our suffixes that we're comparing.
+ //
+ // When the characters at this offset are the same, then we mush on
+ // to the next position since no decision is possible. When the
+ // candidate's character is greater (or lesser) than the corresponding
+ // character than our current maximal (or minimal) suffix, then the
+ // current suffix is changed over to the candidate and we restart our
+ // search. Otherwise, the candidate suffix is no good and we restart
+ // our search on the next candidate.
+ //
+ // The three cases above correspond to the three cases in the loop
+ // below.
+ let mut offset = 0;
+
+ while candidate_start + offset < needle.len() {
+ let current = needle[suffix.pos + offset];
+ let candidate = needle[candidate_start + offset];
+ match kind.cmp(current, candidate) {
+ SuffixOrdering::Accept => {
+ suffix = Suffix { pos: candidate_start, period: 1 };
+ candidate_start += 1;
+ offset = 0;
+ }
+ SuffixOrdering::Skip => {
+ candidate_start += offset + 1;
+ offset = 0;
+ suffix.period = candidate_start - suffix.pos;
+ }
+ SuffixOrdering::Push => {
+ if offset + 1 == suffix.period {
+ candidate_start += suffix.period;
+ offset = 0;
+ } else {
+ offset += 1;
+ }
+ }
+ }
+ }
+ suffix
+ }
+
+ fn reverse(needle: &[u8], kind: SuffixKind) -> Suffix {
+ // See the comments in `forward` for how this works.
+ let mut suffix = Suffix { pos: needle.len(), period: 1 };
+ if needle.len() == 1 {
+ return suffix;
+ }
+ let mut candidate_start = match needle.len().checked_sub(1) {
+ None => return suffix,
+ Some(candidate_start) => candidate_start,
+ };
+ let mut offset = 0;
+
+ while offset < candidate_start {
+ let current = needle[suffix.pos - offset - 1];
+ let candidate = needle[candidate_start - offset - 1];
+ match kind.cmp(current, candidate) {
+ SuffixOrdering::Accept => {
+ suffix = Suffix { pos: candidate_start, period: 1 };
+ candidate_start -= 1;
+ offset = 0;
+ }
+ SuffixOrdering::Skip => {
+ candidate_start -= offset + 1;
+ offset = 0;
+ suffix.period = suffix.pos - candidate_start;
+ }
+ SuffixOrdering::Push => {
+ if offset + 1 == suffix.period {
+ candidate_start -= suffix.period;
+ offset = 0;
+ } else {
+ offset += 1;
+ }
+ }
+ }
+ }
+ suffix
+ }
+}
+
+/// The kind of suffix to extract.
+#[derive(Clone, Copy, Debug)]
+enum SuffixKind {
+ /// Extract the smallest lexicographic suffix from a string.
+ ///
+ /// Technically, this doesn't actually pick the smallest lexicographic
+ /// suffix. e.g., Given the choice between `a` and `aa`, this will choose
+ /// the latter over the former, even though `a < aa`. The reasoning for
+ /// this isn't clear from the paper, but it still smells like a minimal
+ /// suffix.
+ Minimal,
+ /// Extract the largest lexicographic suffix from a string.
+ ///
+ /// Unlike `Minimal`, this really does pick the maximum suffix. e.g., Given
+ /// the choice between `z` and `zz`, this will choose the latter over the
+ /// former.
+ Maximal,
+}
+
+/// The result of comparing corresponding bytes between two suffixes.
+#[derive(Clone, Copy, Debug)]
+enum SuffixOrdering {
+ /// This occurs when the given candidate byte indicates that the candidate
+ /// suffix is better than the current maximal (or minimal) suffix. That is,
+ /// the current candidate suffix should supplant the current maximal (or
+ /// minimal) suffix.
+ Accept,
+ /// This occurs when the given candidate byte excludes the candidate suffix
+ /// from being better than the current maximal (or minimal) suffix. That
+ /// is, the current candidate suffix should be dropped and the next one
+ /// should be considered.
+ Skip,
+ /// This occurs when no decision to accept or skip the candidate suffix
+ /// can be made, e.g., when corresponding bytes are equivalent. In this
+ /// case, the next corresponding bytes should be compared.
+ Push,
+}
+
+impl SuffixKind {
+ /// Returns true if and only if the given candidate byte indicates that
+ /// it should replace the current suffix as the maximal (or minimal)
+ /// suffix.
+ fn cmp(self, current: u8, candidate: u8) -> SuffixOrdering {
+ use self::SuffixOrdering::*;
+
+ match self {
+ SuffixKind::Minimal if candidate < current => Accept,
+ SuffixKind::Minimal if candidate > current => Skip,
+ SuffixKind::Minimal => Push,
+ SuffixKind::Maximal if candidate > current => Accept,
+ SuffixKind::Maximal if candidate < current => Skip,
+ SuffixKind::Maximal => Push,
+ }
+ }
+}
+
+/// A bitset used to track whether a particular byte exists in a needle or not.
+///
+/// Namely, bit 'i' is set if and only if byte%64==i for any byte in the
+/// needle. If a particular byte in the haystack is NOT in this set, then one
+/// can conclude that it is also not in the needle, and thus, one can advance
+/// in the haystack by needle.len() bytes.
+#[derive(Clone, Copy, Debug)]
+struct ApproximateByteSet(u64);
+
+impl ApproximateByteSet {
+ /// Create a new set from the given needle.
+ fn new(needle: &[u8]) -> ApproximateByteSet {
+ let mut bits = 0;
+ for &b in needle {
+ bits |= 1 << (b % 64);
+ }
+ ApproximateByteSet(bits)
+ }
+
+ /// Return true if and only if the given byte might be in this set. This
+ /// may return a false positive, but will never return a false negative.
+ #[inline(always)]
+ fn contains(&self, byte: u8) -> bool {
+ self.0 & (1 << (byte % 64)) != 0
+ }
+}
+
+#[cfg(test)]
+mod tests {
+ use alloc::vec::Vec;
+
+ use super::*;
+
+ /// Convenience wrapper for computing the suffix as a byte string.
+ fn get_suffix_forward(needle: &[u8], kind: SuffixKind) -> (&[u8], usize) {
+ let s = Suffix::forward(needle, kind);
+ (&needle[s.pos..], s.period)
+ }
+
+ /// Convenience wrapper for computing the reverse suffix as a byte string.
+ fn get_suffix_reverse(needle: &[u8], kind: SuffixKind) -> (&[u8], usize) {
+ let s = Suffix::reverse(needle, kind);
+ (&needle[..s.pos], s.period)
+ }
+
+ /// Return all of the non-empty suffixes in the given byte string.
+ fn suffixes(bytes: &[u8]) -> Vec<&[u8]> {
+ (0..bytes.len()).map(|i| &bytes[i..]).collect()
+ }
+
+ /// Return the lexicographically maximal suffix of the given byte string.
+ fn naive_maximal_suffix_forward(needle: &[u8]) -> &[u8] {
+ let mut sufs = suffixes(needle);
+ sufs.sort();
+ sufs.pop().unwrap()
+ }
+
+ /// Return the lexicographically maximal suffix of the reverse of the given
+ /// byte string.
+ fn naive_maximal_suffix_reverse(needle: &[u8]) -> Vec<u8> {
+ let mut reversed = needle.to_vec();
+ reversed.reverse();
+ let mut got = naive_maximal_suffix_forward(&reversed).to_vec();
+ got.reverse();
+ got
+ }
+
+ define_substring_forward_quickcheck!(|h, n| Some(
+ Finder::new(n).find(h, n)
+ ));
+ define_substring_reverse_quickcheck!(|h, n| Some(
+ FinderRev::new(n).rfind(h, n)
+ ));
+
+ #[test]
+ fn forward() {
+ crate::tests::substring::Runner::new()
+ .fwd(|h, n| Some(Finder::new(n).find(h, n)))
+ .run();
+ }
+
+ #[test]
+ fn reverse() {
+ crate::tests::substring::Runner::new()
+ .rev(|h, n| Some(FinderRev::new(n).rfind(h, n)))
+ .run();
+ }
+
+ #[test]
+ fn suffix_forward() {
+ macro_rules! assert_suffix_min {
+ ($given:expr, $expected:expr, $period:expr) => {
+ let (got_suffix, got_period) =
+ get_suffix_forward($given.as_bytes(), SuffixKind::Minimal);
+ let got_suffix = core::str::from_utf8(got_suffix).unwrap();
+ assert_eq!(($expected, $period), (got_suffix, got_period));
+ };
+ }
+
+ macro_rules! assert_suffix_max {
+ ($given:expr, $expected:expr, $period:expr) => {
+ let (got_suffix, got_period) =
+ get_suffix_forward($given.as_bytes(), SuffixKind::Maximal);
+ let got_suffix = core::str::from_utf8(got_suffix).unwrap();
+ assert_eq!(($expected, $period), (got_suffix, got_period));
+ };
+ }
+
+ assert_suffix_min!("a", "a", 1);
+ assert_suffix_max!("a", "a", 1);
+
+ assert_suffix_min!("ab", "ab", 2);
+ assert_suffix_max!("ab", "b", 1);
+
+ assert_suffix_min!("ba", "a", 1);
+ assert_suffix_max!("ba", "ba", 2);
+
+ assert_suffix_min!("abc", "abc", 3);
+ assert_suffix_max!("abc", "c", 1);
+
+ assert_suffix_min!("acb", "acb", 3);
+ assert_suffix_max!("acb", "cb", 2);
+
+ assert_suffix_min!("cba", "a", 1);
+ assert_suffix_max!("cba", "cba", 3);
+
+ assert_suffix_min!("abcabc", "abcabc", 3);
+ assert_suffix_max!("abcabc", "cabc", 3);
+
+ assert_suffix_min!("abcabcabc", "abcabcabc", 3);
+ assert_suffix_max!("abcabcabc", "cabcabc", 3);
+
+ assert_suffix_min!("abczz", "abczz", 5);
+ assert_suffix_max!("abczz", "zz", 1);
+
+ assert_suffix_min!("zzabc", "abc", 3);
+ assert_suffix_max!("zzabc", "zzabc", 5);
+
+ assert_suffix_min!("aaa", "aaa", 1);
+ assert_suffix_max!("aaa", "aaa", 1);
+
+ assert_suffix_min!("foobar", "ar", 2);
+ assert_suffix_max!("foobar", "r", 1);
+ }
+
+ #[test]
+ fn suffix_reverse() {
+ macro_rules! assert_suffix_min {
+ ($given:expr, $expected:expr, $period:expr) => {
+ let (got_suffix, got_period) =
+ get_suffix_reverse($given.as_bytes(), SuffixKind::Minimal);
+ let got_suffix = core::str::from_utf8(got_suffix).unwrap();
+ assert_eq!(($expected, $period), (got_suffix, got_period));
+ };
+ }
+
+ macro_rules! assert_suffix_max {
+ ($given:expr, $expected:expr, $period:expr) => {
+ let (got_suffix, got_period) =
+ get_suffix_reverse($given.as_bytes(), SuffixKind::Maximal);
+ let got_suffix = core::str::from_utf8(got_suffix).unwrap();
+ assert_eq!(($expected, $period), (got_suffix, got_period));
+ };
+ }
+
+ assert_suffix_min!("a", "a", 1);
+ assert_suffix_max!("a", "a", 1);
+
+ assert_suffix_min!("ab", "a", 1);
+ assert_suffix_max!("ab", "ab", 2);
+
+ assert_suffix_min!("ba", "ba", 2);
+ assert_suffix_max!("ba", "b", 1);
+
+ assert_suffix_min!("abc", "a", 1);
+ assert_suffix_max!("abc", "abc", 3);
+
+ assert_suffix_min!("acb", "a", 1);
+ assert_suffix_max!("acb", "ac", 2);
+
+ assert_suffix_min!("cba", "cba", 3);
+ assert_suffix_max!("cba", "c", 1);
+
+ assert_suffix_min!("abcabc", "abca", 3);
+ assert_suffix_max!("abcabc", "abcabc", 3);
+
+ assert_suffix_min!("abcabcabc", "abcabca", 3);
+ assert_suffix_max!("abcabcabc", "abcabcabc", 3);
+
+ assert_suffix_min!("abczz", "a", 1);
+ assert_suffix_max!("abczz", "abczz", 5);
+
+ assert_suffix_min!("zzabc", "zza", 3);
+ assert_suffix_max!("zzabc", "zz", 1);
+
+ assert_suffix_min!("aaa", "aaa", 1);
+ assert_suffix_max!("aaa", "aaa", 1);
+ }
+
+ #[cfg(not(miri))]
+ quickcheck::quickcheck! {
+ fn qc_suffix_forward_maximal(bytes: Vec<u8>) -> bool {
+ if bytes.is_empty() {
+ return true;
+ }
+
+ let (got, _) = get_suffix_forward(&bytes, SuffixKind::Maximal);
+ let expected = naive_maximal_suffix_forward(&bytes);
+ got == expected
+ }
+
+ fn qc_suffix_reverse_maximal(bytes: Vec<u8>) -> bool {
+ if bytes.is_empty() {
+ return true;
+ }
+
+ let (got, _) = get_suffix_reverse(&bytes, SuffixKind::Maximal);
+ let expected = naive_maximal_suffix_reverse(&bytes);
+ expected == got
+ }
+ }
+
+ // This is a regression test caught by quickcheck that exercised a bug in
+ // the reverse small period handling. The bug was that we were using 'if j
+ // == shift' to determine if a match occurred, but the correct guard is 'if
+ // j >= shift', which matches the corresponding guard in the forward impl.
+ #[test]
+ fn regression_rev_small_period() {
+ let rfind = |h, n| FinderRev::new(n).rfind(h, n);
+ let haystack = "ababaz";
+ let needle = "abab";
+ assert_eq!(Some(0), rfind(haystack.as_bytes(), needle.as_bytes()));
+ }
+}